SOLUTION: Ken drove to Chicago from New York at a speed of 65 miles per hour. He returned at a speed of 85 miles per hour. The trip to New York took an extra 2 1/2 hour. How far apart is Chi

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Question 1055401: Ken drove to Chicago from New York at a speed of 65 miles per hour. He returned at a speed of 85 miles per hour. The trip to New York took an extra 2 1/2 hour. How far apart is Chicago and New York ?
Found 4 solutions by josgarithmetic, josmiceli, ikleyn, MathTherapy:
Answer by josgarithmetic(39615)   (Show Source):
You can put this solution on YOUR website!

SPEED TIME DISTANCE One way 65 d The other way 85 d Total

Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website!
Let = distance from Chicago to NYC in miles
Let = time in hrs for NYC to Chicago
= time in hrs for Chicago to NYC
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Equation for NYC to Chicago:
(1)
Equation for Chicago to NYC:
(2)
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This problem makes no sense as stated. It says that
the trip that was made at the higher speed took
longer than the trip made at the slower speed!!!!!!!
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I wrote down the equations, but they will give you nonsense.
I think the problem is either mistyped to begin with, or
down the line.

Answer by ikleyn(52772)   (Show Source):
You can put this solution on YOUR website!
.
This formulation is EITHER a nonsense OR a mistake.

Answer by MathTherapy(10551)   (Show Source):
You can put this solution on YOUR website!

Ken drove to Chicago from New York at a speed of 65 miles per hour. He returned at a speed of 85 miles per hour. The trip to New York took an extra 2 1/2 hour. How far apart is Chicago and New York ?

This absolutely makes NO SENSE.
A round-trip in which average speed on one leg is GREATER than average speed on the other CAN NEVER take MORE time.
I won't even BOTHER to waste my time on this!